During the past decades it has been shown that for a broad class of the distributions of
fibers' strength, FBMs exhibit
universal behaviour with two distinct universality classes according to the range of load redistribution:
for long range load sharing (ELS class) the size of failure cascades proved to be power law distributed
with a universal exponent \(5/2\)  [1]}, [2]}, [3]}
and the bundle has a
finite asymptotic strength in the limit of large system sizes [4]}, [5]}, [6]}.
For equal load sharing conditions the fibers always keep the same load, no stress concentration can arise,
hence, ELS realizes the mean field limit of FBMs.
Under short range load sharing (LLS class) the distribution of cascade sizes is a significantly steeper (non universal) power law or exponential, and additionally, for large system sizes the ultimate strength
of the bundle tends to zero [7]}, [8]}, [9]}, [10]}.
Recently, LLS FBMS have been analyzed on complex networks where fibers were assigned to the nodes
and localized load sharing was realized along the links of the network [11]}.
Based on the statistics of cascade sizes and on the ultimate strength of the system, it was demonstrated
for scale-free, Erdős-Rényi (ER) and Watts-Strogatz (WS) rewired networks that LLS FBMs on
complex networks
fall in the ELS universality class [11]}. Later on it was shown on a ring graph
with two nearest neighbor links that adding a single random load transmitting connection to each fiber,
the localized load sharing FBM exhibits ELS behaviour in terms of the size distribution of failure
cascades and global strength [13]}. However, all these studies of FBMs on
complex networks were limited to a high disorder of node strength and considered only networks with a high degree of randomness
in their structure even in the case when all fibers had the same degree.
